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Finding the Fourth Proportional to 6,260.07, 9,382.01 and 5,478.22

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Solution

The fourth proportional to 6,260.07, 9,382.01 and 5,478.22 is: 8,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,260.07 : 9,382.01 = 5,478.22 : x
  2. Step 2: Convert to fraction form
    6,260.07/9,382.01 = 5,478.22/x
  3. Step 3: Cross multiply
    6,260.07x = 9,382.01 × 5,478.22
  4. Step 4: Simplify right side
    6,260.07x = 51,396,714.82
  5. Step 5: Solve for x
    x = 51,396,714.82/6,260.07
  6. Step 6: Final answer
    x = 8,210.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.